Elementary Plane Geometry: Inductive and DeductiveGinn, 1903 - 144 Seiten |
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Seite 11
... diagonal . three Figures contained by more than four straight lines are called polygons . A straight line has evidently throughout its entire length the same direction . Two straight lines which have the same direction are said ...
... diagonal . three Figures contained by more than four straight lines are called polygons . A straight line has evidently throughout its entire length the same direction . Two straight lines which have the same direction are said ...
Seite 50
... diagonal , construct a quadrilateral ABCD with its opposite sides equal . How are the opposite sides placed with respect to each other ? Test and give proof . Place a 20. Two lines make an angle of 63 ° with each other . straight line 2 ...
... diagonal , construct a quadrilateral ABCD with its opposite sides equal . How are the opposite sides placed with respect to each other ? Test and give proof . Place a 20. Two lines make an angle of 63 ° with each other . straight line 2 ...
Seite 51
... diagonal , as it is called , of the parallelo- We have in the two triangles NKM , LMK , — gram . The side KM common to both , the alternate angles NKM , LMK equal , 66 66 66 NMK , LKM 66 Hence ( Ch . II . 5 ) these triangles 51 ...
... diagonal , as it is called , of the parallelo- We have in the two triangles NKM , LMK , — gram . The side KM common to both , the alternate angles NKM , LMK equal , 66 66 66 NMK , LKM 66 Hence ( Ch . II . 5 ) these triangles 51 ...
Seite 52
... diagonal of a parallelogram bisects it . 2. Draw a pair of parallel lines , AB and CD . In AB take any length KL , and , adjusting the dividers to it , in CD mark off an equal length MN . Join K , M and L , N. M Using the dividers ...
... diagonal of a parallelogram bisects it . 2. Draw a pair of parallel lines , AB and CD . In AB take any length KL , and , adjusting the dividers to it , in CD mark off an equal length MN . Join K , M and L , N. M Using the dividers ...
Seite 55
... diagonals in a number of parallelograms , and examine how the point in which the diagonals intersect divides them . Give proof . 5. Draw two lines whose intersection bisects both , and show by using parallel rulers that the lines ...
... diagonals in a number of parallelograms , and examine how the point in which the diagonals intersect divides them . Give proof . 5. Draw two lines whose intersection bisects both , and show by using parallel rulers that the lines ...
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Elementary Plane Geometry: Inductive and Deductive / By Alfred Baker Alfred Baker Keine Leseprobe verfügbar - 2015 |
Häufige Begriffe und Wortgruppen
50 millimetres ABCD adjusting the bevel angle ABC angle ACB angle BAC angle of 60 angles equal angular points Apply test centre chord circle of radius circle touching circumference construct a rectangle Construct a triangle Construct the triangle containing an angle Describe a circle Describe a regular Describe two circles diagonals distance dividers draw a line draw tangents drawn equal angles equilateral triangle exterior angle figure Give proof Give reasons Hence hypotenuse inches inscribe isosceles triangle measure middle point occupy with respect opposite angles opposite sides parallel lines parallel rulers parallel to BC parallelogram perpendicular position preceding question previous question protractor quadrilateral radii radius 40 millimetres rectangle equal regular hexagon regular pentagon remaining angles rhombus right angles right-angled triangle segment set-square side of BC similar triangles square straight line struct Test accuracy Test the accuracy three angles triangle ABC triangle with sides triangles are equal
Beliebte Passagen
Seite 68 - In any right-angled triangle, the square which is described on the side subtending the right angle is equal to the sum of the squares described on the sides which contain the right angle.
Seite 95 - When it is affirmed (for instance) that " if two straight lines in a circle intersect each other, the rectangle contained by the segments of the one is equal to the rectangle contained by the segments of the other...
Seite 42 - All the interior angles of any rectilineal figure, together with four right angles, are equal to twice as many right angles as the figure has sides.
Seite 40 - Thus when it is said that the sum of the three angles of any triangle is equal to two right angles, this is a theorem, the truth of which is demonstrated by Geometry.
Seite 91 - If a straight line touch a circle, and from the point of contact a chord be drawn, the angles which this chord makes with the tangent are equal to the angles in the alternate segments.
Seite 17 - Euclid's, and show by construction that its truth was known to us ; to demonstrate, for example, that the angles at the base of an isosceles triangle are equal...
Seite 18 - If two angles of a triangle are equal, the sides opposite to these angles are equal 21 ^THEOREM 14.
Seite 86 - The angle at the centre of a circle is double the angle at the circumference on the same arc.
Seite 88 - The opposite angles of a quadrilateral inscribed in a circle are together equal to two right angles, with converse.
Seite 96 - BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; therefore the straight line BD touches the circle ACD : (in.